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Finding the Fourth Proportional to 47,714.40, 65,851.92 and 28,861.92

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Solution

The fourth proportional to 47,714.40, 65,851.92 and 28,861.92 is: 39,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.40 : 65,851.92 = 28,861.92 : x
  2. Step 2: Convert to fraction form
    47,714.40/65,851.92 = 28,861.92/x
  3. Step 3: Cross multiply
    47,714.40x = 65,851.92 × 28,861.92
  4. Step 4: Simplify right side
    47,714.40x = 1,900,612,846.89
  5. Step 5: Solve for x
    x = 1,900,612,846.89/47,714.40
  6. Step 6: Final answer
    x = 39,833.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.